2. How we can describe the polarizated light from a VCSEL laser? Why we are interested in light? Because photons are the most fast particle in nature which we can control and detect it. By LASER cavities we can generate beams photons light polarized in two orthogonal directions. Quantistic Physical Phenomena appears due to the chaotic and stochastic nature of the system, which generate a bistability in the polarization modes with an histeresis cycle.

3. EQUATIONS RATE in a Solitary LASER – Current controlled PARAMETERS DEFINITIONS AND VALUES USED kField decay rate300 ns -1  Linewidth enhancement factor3  Injection current[1:5] ss Spin-Flip relaxation rate50 ns -1 aa Gain anisotropies - dichroism0,5 ns -1 pp Linear anisotropies - birefringence50 rad ns -1 NN Decay rate total carrier population1 ns -1 NTotal carrier density nDifference carrier density  sp Coefficient spontaneus emission[1e-6: 1]

4. Current from 0.9 to 1,3 in 200 ns Current from 0.9 to 1,3 in 25 ns Characteristic Intensities Modes- Current

5. Noise strength=1e-6 Noise strength=1 Noise strength=1e-2 Noise strength=1e-4

6. Rate Equations model in Master-Slave configuration 0 xx yy 

7.  N (ns -1 )  p (rad ns -1 )  s (ns -1 )  a (ns -1 )  (rad ns -1 ) E inj  sp K (ns -1 ) 32,5130500,512-----1e-5300 Polarization modes in Master-Slave configuration with different ramp long scan of the injected power

8. X-Mode PS encoding OR logic Output increasing Noise strength

9. Probability of success Logic Operation

10. Probability maps

11. Optimal parameters

12. Conclusions

13. Thank you for your attention!